2010 / March Volume 5 No.1
Disjunctive elements of inverse monoids
| Published Date |
2010 / March
|
|---|---|
| Title | Disjunctive elements of inverse monoids |
| Author | |
| Keyword | |
| Download | |
| Pagination | 111-121 |
| Abstract | An element of a semigroup is called $disjunctive$ if it does not form a class modulo some non-identity congruence. We first
study identity elements of inverse monoids that are disjunctive. It turns out that a disjunctive identity element can be determined
by a basis. We continue to analyze other disjunctive elements, and find out that disjunctive elements in some D-classes can be
determined by a special element.
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| AMS Subject Classification |
20M20, 08A35
|
| Received |
2009-03-24
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| Accepted |
2009-03-24
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